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2014 Laplacian Spectral Characterization of Some Unicyclic Graphs
Lijun Yu, Hui Wang, Jiang Zhou
J. Appl. Math. 2014: 1-6 (2014). DOI: 10.1155/2014/268464

Abstract

Let W(n;q,m1,m2) be the unicyclic graph with n vertices obtained by attaching two paths of lengths m1 and m2 at two adjacent vertices of cycle Cq. Let U(n;q,m1,m2,,ms) be the unicyclic graph with n vertices obtained by attaching s paths of lengths m1,m2,,ms at the same vertex of cycle Cq. In this paper, we prove that W(n;q,m1,m2) and U(n;q,m1,m2,,ms) are determined by their Laplacian spectra when q is even.

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Lijun Yu. Hui Wang. Jiang Zhou. "Laplacian Spectral Characterization of Some Unicyclic Graphs." J. Appl. Math. 2014 1 - 6, 2014. https://doi.org/10.1155/2014/268464

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131464
MathSciNet: MR3259202
Digital Object Identifier: 10.1155/2014/268464

Rights: Copyright © 2014 Hindawi

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